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Finding the Third Proportional to 125,619.38 and 170,581.88

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Solution

The third proportional to 125,619.38 and 170,581.88 is: 231,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,619.38 : 170,581.88 = 170,581.88 : x
  2. Step 2: Convert to fraction form
    125,619.38/170,581.88 = 170,581.88/x
  3. Step 3: Cross multiply
    125,619.38x = 170,581.88 × 170,581.88
  4. Step 4: Simplify right side
    125,619.38x = 29,098,176,078.52
  5. Step 5: Solve for x
    x = 29,098,176,078.52/125,619.38
  6. Step 6: Final answer
    x = 231,637.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.